1. Every non empty bounded set of real numbers has a infimum . This property is referred to as

2. which of the following is not countable set

3. Set of natural number is

4. If g.l.b of a set belong to the set then

5. Every subset of a finite set is

6. Every infinite sequence in a compact metric space has a subsequence which

7. {} is

8. The sequence of real numbers is ________ if and only if it is cauchy sequence.

9. Bounded monotonic sequence will be increasing if it converges to its

10. The set of negative integers is

11. Every pair of real numbers a and b satisfied the following conditions a >  b, a = b, a < b . This property known as

12. Supremum and infimum of an empty set is

13. Bounded monotonic sequence will be decreasing if it converges to its

14. Supremum and infimum of 

15. If f is differentiable in [ a, b] then it is monotonically increasing if

16. A sequence is a function whose domain is

17. An improper Reimann Integral can without infinite

18. If least upper bound exists  then it is

19. which of the following statements is not correct ?

20. An improper Reimann Integral can without infinite

21. Which of the following has not multiplicative inverse

22. If L is the tangent line to a function f at x = a then

23. If f is differentiable at x ε [ a, b] then f at x is

24. Real number system consist of

25. Set of numbers which have ordered fields

26. Sup (X) =

27. The set of all real transcendental numbers is

28. Cauchy sequence of real numbers is

29. If f'(x) exists then it is constant function

30. Every superset of an infinite set is

31. Natural numbers and integers are

32. In a complete metric space

33. The signm function is not continuous at

34. which function is continuous everywhere

35. The intersection of two infinite sets is

36. Every bounded sequence has a subsequence which

37. A sequence is said to be divergent if it is

38. Natural Numbers are

39.  converges to limit

40. If a sequence is unbounded or it does not converge then this sequence is called

41. Every constant sequence is

42. which series is divergent series

43. A continuous function from bounded [a , b] to R

44. If f is real valued and monotonic on [a , b] then f is

45. If a function is strictly monotone then It is

46. The function f(x)= x + 1/x is uniformly continuous on

47. A metric (X,d) is complete if every cauchy sequence in X

48. If we have an inflection point x = a then

49. No polynomial of degree _________ is Lipschitzian on R .

50. (Q, +, .) is

51. For two real numbers x and y with x > 0 , there exist a natural number n s.t

52. If  then

53. what is supremum and infimum of R is

54. If there exists a bijection of N onto S then set is known as

55. The set of all real algebric numbers is

56. If f is contractive then f is

57. If S={1\n | n £ N } the g.l.b of S is

58. The range of sequence

59. (-∞)+(+∞)=

60. The set of real number can be denoted as

61. The set of all ___________ numbers form a sequence.

62. Let S be a set of real numbers. Then S has a supremum if S has

63. A convergent sequence converges to

64. Set Q of the all rational numbers is

65. The converse of Cauchy integral theorem is known as

66. If function is Reimanns integrable on [ a, b] then function must be

67. For every closed subset of R , the real line is

68. If f is differentiable in [ a, b] then it is monotonically decreasing if

69. The greatest lower bound of a set